Home
Class 11
MATHS
Let R be a relationon N defined by x+2...

Let `R` be a relationon `N` defined by `x+2y=8.` The domain of `R` is (a) `{2,4,8}` b. `{2,4,6,8}` c. `{2,4,6}` d. `(1,2,3,4)`

Text Solution

AI Generated Solution

To find the domain of the relation \( R \) defined by the equation \( x + 2y = 8 \) where \( x \) and \( y \) are natural numbers, we will follow these steps: ### Step 1: Rearranging the Equation We start with the equation: \[ x + 2y = 8 \] We can rearrange this to express \( y \) in terms of \( x \): ...
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|85 Videos

  • SETS

    RD SHARMA|Exercise Solved Examples And Exercises|218 Videos

Similar Questions

Explore conceptually related problems

Let R be a relation on N defined by x+2y=8. The domain of R is

Let R be a relation on N defined by R={(x,y):x+2y=8). Then domain of R is

" Let "R" be a relation in "N" defined by "R={(x,y):x+2y=8}" The Range of "R" is "

A relation R is defined from {2,3,4,5,} to {3,6,7,10}by:xRy:x is relatively prime to y. Then,domain of R is (a){2,3,5,} (b) {3,5,} (c) {2,3,4,} (d) {2,3,4,5,} .

A relation R is defined from {2, 3, 4, 5} to {3, 6, 7, 10} by : x\ R\ yhArrx is relatively prime to ydot Then, domain of R is (a) {2, 3, 5} (b) {3, 5} (c) {2, 3, 4} (d) {2, 3, 4, 5}

If f:R rarr R is defined by f(x)=x^(2)-10x+21 then f^(-1)(-3) is 1){-4,6}2){2,4}3){-4,4,64){4,6}

let A = {2,4,6,8}. A relation R on A is defined by R= {(2,6),(6,2),(4,6),(6,4)}. Then R is

Let R be a relation defined by R={(x,x^(^^)3)X is a prime number <10} then which of the following is true.R{(1,1),(2,8),(3,27),(4,64),(5,125),(6,216),(7,343)(8,512),(9,729)}R={(2,8),(3,27),(5,125)(7,343)}R={(2,8),(4,64),(6,216),(8,512)} None of these

RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Write the relation R={(x , x^3): x is a prime number less than 10} in ...

    Text Solution

    |

  2. Let A={1,2,3,4,5,6}dot Let R be a relation on A defined by R={(a , b):...

    Text Solution

    |

  3. Figure 2.15 shows a relationship between the sets P\ a n d\ Q . Write ...

    Text Solution

    |

  4. Let R be the relation on Z defined by R={(a , b): a , b in Z , a-b is ...

    Text Solution

    |

  5. Let R be a relation on NxxN defined by (a , b)\ R(c , d)hArra+d=b+c\ f...

    Text Solution

    |

  6. If A={1,2,4},\ B={2,4,5}a n d\ C={2,5},\ write (A-C)xx(B-C)dot

    Text Solution

    |

  7. If n(A)=3, n(B)=4, then write n(AxxAxxB) .

    Text Solution

    |

  8. If R is a relation defined on the set Z of integers by the rule (x , y...

    Text Solution

    |

  9. If R={(x , y): x , y in Z ,\ x^2+y^2lt=4} is a relation defined on th...

    Text Solution

    |

  10. If R is a relation from set A={11 , 12 , 13} to set B={8, 10 , 12} def...

    Text Solution

    |

  11. Let R={(x , y): x , y in Z ,\ y=2x-4}dotIf\ (a,-2)\ a n d\ (4, b^2) ...

    Text Solution

    |

  12. If A={1,3,5}a n d\ B={2,4} list the elements of R ,\ if\ R={(x , y): x...

    Text Solution

    |

  13. If R={(x , y): x , y in W ,2x+y=8} ., then write the domain and range...

    Text Solution

    |

  14. Let A\ a n d\ B be two sets such that n(A)=3\ a n d\ n(B)=2. If (x , 1...

    Text Solution

    |

  15. If A={1,2,3},\ B="{"1,4,6,9"]"a n d\ R is a relation from A to B defin...

    Text Solution

    |

  16. If R={(x , y): x , y in Z , x^2+y^2lt=4} is a relation on Z,\ then d...

    Text Solution

    |

  17. A relation varphi from C\ to\ R is defined by xvarphiyhArr|x|=ydot Whi...

    Text Solution

    |

  18. Let R be a relationon N defined by x+2y=8. The domain of R is (a...

    Text Solution

    |

  19. Let R be a relation from a set A\ to a set B, then R=AuuB b. R=AnnB ...

    Text Solution

    |

  20. If R is a relation from a finite set A having m elements to a finite s...

    Text Solution

    |